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3 years ago

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The table shows the results of the experiment to determine the 90-day weather forecast. How does the experimental probability co

mpare to the theoretical probability? The theoretical probability for rain is 1/5. The experimental probability for rain is . The actual weather is the theoretical probability.

2 answers:

joja [24]3 years ago

7 0

Answer: 1/6

Approximately the same.

Step-by-step explanation:

marishachu [46]3 years ago

5 0

Answer:

1/6

Approximately the same as

Step-by-step explanation:

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10 snails is to be chosen from this population. Find the probability that the percentage of streaked-shelled snails in the sampl

Alex17521 [72]

Here is the full question:

$The \ shell \ of \ the \ land \ snail \ Limocolaria \ martensiana \ has \ two \ possible \ color$ $forms: \ streaked \ and \ pallid. \ In \ a \ certain \ population \ of \ these \ snails, \ 60\% \ o f \ the$ $individuals \ have \ streaked \ s hells.\ 16 \ Suppose \ that \ a \ random \ sample \ of \ 10 \ snails$ $is \ to \ be \ chosen \ from \ this \ population. \ F ind \ the \ probabilit y \ that \ the \ percentage \ of$

$streaked-shelled \ snails \ in \ t he \ sample \ will \ be$

$(a) 50\%. \ (b) 60\%. \ (c) 70\%.$

Answer:

(a) 0.2007

(b) 0.2510

(c) 0.2150

Step-by-step explanation:

Given that:

The sample size = 10

Sample proportion= 60% 0.6

Let X represents the no of streaked-shell snails.

$X \sim Binom (n =1 0, p = 0.60)$

The Probability mass function (X) is:

$P(X =x)= (^n_x) p^x(1-p)^{n-x}; x = 0,1,2,3...$

The Binomial probability with mean μ = np

= 10 * 0.6

= 6

Standard deviation σ = $\sqrt{np(1-p)}$

= $\sqrt{10*0.6*(1-0.6)}$

= 1.55

The probability that the percentage of the streaked-shelled snails in the sample will be:

a)

$P(X = 0.5) = ^nC_x p^x (1 -p) ^{(n-x)}$

$= ^{10}^C_5 * (0.6)^5(1-0.6)^{10-5}$

$= \dfrac{10!}{5!(10-5)!} * (0.6)^5(1-0.6)^{10-5}$

= 0.2007

b)

$P(X = 0.6) = ^nC_x p^x (1 -p) ^{(n-x)}$

$= ^{10}^C_6 * (0.6)^6(1-0.6)^{10-6}$

$= \dfrac{10!}{6!(10-6)!} * (0.6)^6(1-0.6)^{10-6}$

= 0.2510

c)

$P(X = 0.7) = ^nC_x p^x (1 -p) ^{(n-x)}$

$= ^{10}^C_7 * (0.6)^7(1-0.6)^{10-7}$

$= \dfrac{10!}{7!(10-7)!} * (0.6)^7(1-0.6)^{10-7}$

= 0.2150

7 0

3 years ago

Joint ownership is or is not one form of holding property?

Nezavi [6.7K]

One of two form of joint ownership is one form of holding property. There are two forms of joint ownership, which are the joint tenants and tenants by entirely. The joint tenants form is one form of holding property which commonly used by married couples for minimizing their estate taxes, where they share the property ownership.

5 0

3 years ago

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Brilliant_brown [7]

Answer:

$f(x)=\sqrt{x-1}$ -----> Graph C

$f(x)=\sqrt{x}$ -----> Graph A

$f(x)=\sqrt{x}-1$ -----> Graph B

$f(x)=-\sqrt{x}$ -----> Graph D

$f(x)=-\sqrt{x-1}$ -----> Graph E

Step-by-step explanation:

we have

case a) $f(x)=\sqrt{x-1}$

Find the domain

we know that

The radicand must be greater than or equal to zero

so

$x-1\geq 0$

$x\geq 1$

The domain is the interval -----> [1,∞)

All real numbers greater than or equal to 1

The range is the interval -----> [0,∞)

All real numbers greater than or equal to 0

case b) $f(x)=\sqrt{x}$

Find the domain

we know that

The radicand must be greater than or equal to zero

so

$x\geq 0$

The domain is the interval -----> [0,∞)

All real numbers greater than or equal to 0

The range is the interval -----> [0,∞)

All real numbers greater than or equal to 0

case c) $f(x)=\sqrt{x}-1$

Find the domain

we know that

The radicand must be greater than or equal to zero

so

$x\geq 0$

The domain is the interval -----> [0,∞)

All real numbers greater than or equal to 0

The range is the interval -----> [-1,∞)

All real numbers greater than or equal to -1

case d) $f(x)=-\sqrt{x}$

Find the domain

we know that

The radicand must be greater than or equal to zero

so

$x\geq 0$

The domain is the interval -----> [0,∞)

All real numbers greater than or equal to 0

The range is the interval -----> (-∞,0]

All real numbers less than or equal to 0

case e) $f(x)=-\sqrt{x-1}$

Find the domain

we know that

The radicand must be greater than or equal to zero

so

$x-1\geq 0$

$x\geq 1$

The domain is the interval -----> [1,∞)

All real numbers greater than or equal to 1

The range is the interval -----> (-∞,0]

All real numbers less than or equal to 0

5 0

3 years ago

List the measurement below from smallest to largest .7 cm 18 mm 1 m 3 dm

Ivanshal [37]

In order to list the measurements from smallest to largest, we convert all the measurement to a common unit. In this item, we convert the given to meters, m.

A. The conversion factor to be used here is 1 m = 100 cm
(7 cm)(1 m / 100 cm) = 0.07 m

B. Conversion factor: 1 m = 1000 mm
(18 mm) (1 m / 1000 mm) = 0.018 m

C. Let us list this as is, 1 m

D. The conversion factor here is 1 m = 10 dm
(3 dm)(1 m / 10 dm) = 0.3 m

By the converted values, we are then able to arrange the given measurements.Hence, the arrangement should be 18 mm, 7 cm, 3 dm, and 1 m.

4 0

3 years ago

We can fill a certain barrel with water if we use water from 6 small pitchers, 3 medium pitchers, and one large pitcher, or from

Blizzard [7]

Answer:

Solution Given:

let pitcher which is small be S medium be M and large be L and barrel be B.

By question

6S+3M+1L= 1B...... eq. 1

2S+1M+3L=1B.......eq. 2

The difference in 2L from the first to the second is 4S and 2M

Therefore, each L=2S+M

In equation 2

2S+1M+3L=1B

replacing 2S +1M by L,we get

L+3L=1B

4L=1B

Therefore, <u>4 large pitcher</u> is required

5 0

2 years ago

Read 2 more answers